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math.AT2026
Real Twistings are 2-Line Bundles
Tim Lüders, Lynn Otto, Konrad Waldorf
We construct and study a bicategory of super 2-line bundles over graded Lie groupoids, providing a unified framework for geometric models of twistings of (real) K-theory. The core…
math.AT2026
Categorical symmetries of T-duality
Konrad Waldorf
Topological T-duality correspondences are higher categorical objects that can be classified by a strict Lie 2-group. In this article we compute the categorical automorphism group o…
math.AT2024
The stringor bundle
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We set up a framework of 2-Hilbert bundles, which allows to rigorously define the "stringor bundle", a higher differential geometric object anticipated by Stolz and Teichner in an…